← Exponents and powers lesson New set →

Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 469 · 40 sums
TalentJR

The method (Same base, work the powers): aᵐ × aⁿ = aᵐ⁺ⁿ, aᵐ ÷ aⁿ = aᵐ⁻ⁿ, (aᵐ)ⁿ = aᵐⁿ, a⁰ = 1. a⁻ⁿ = 1/aⁿ, and (a/b)⁻ⁿ = (b/a)ⁿ. Standard form: one digit before the point × a power of 10 — 4500000 = 4.5 × 10⁶. × 10⁻ⁿ moves the decimal point n places to the left: 2.5 × 10⁻³ = 0.0025.

NameDateTime takenScore ___ / 40
  1. 1.What is the value of (7/9)⁻¹? =
  2. 2.Write 5.7 × 10⁻⁴ as a decimal. =
  3. 3.What is the value of (1/5)⁻²? =
  4. 4.What is the value of (1/2)⁻²? =
  5. 5.Write 4¹³ ÷ 4⁵ as a single power 4ⁿ. What is n?
  6. 6.What is the value of 4⁵? =
  7. 7.Write 5.8 × 10⁻⁴ as a decimal. =
  8. 8.Write 8³ × 8⁷ as a single power 8ⁿ. What is n?
  9. 9.What is the value of 2⁻⁹ (as a fraction)? =
  10. 10.What is the value of (1/6)⁻²? =
  11. 11.What is the value of 5⁶ × 5⁻²? =
  12. 12.Write 8⁴ × 8⁷ as a single power 8ⁿ. What is n?
  13. 13.3.9 × 10² =
  14. 14.Write 2¹⁰ ÷ 2⁷ as a single power 2ⁿ. What is n?
  15. 15.Write 2⁵ × 2⁴ as a single power 2ⁿ. What is n?
  16. 16.Write 9.9 × 10⁻² as a decimal. =
  17. 17.Write 7⁸ ÷ 7³ as a single power 7ⁿ. What is n?
  18. 18.What is the value of (5/9)⁻²? =
  19. 19.Write 5 × 10⁻² as a decimal. =
  20. 20.Write 2,20,00,000 in standard form as 2.2 × 10ⁿ. What is n?
  21. 21.What is the value of 10⁵? =
  22. 22.What is the value of 3⁴ × 3⁻¹? =
  23. 23.What is the value of 2⁶ × 2⁻³? =
  24. 24.What is the value of (1/4)⁻¹? =
  25. 25.What is the value of 5⁷? =
  26. 26.Write 1.9 × 10⁻² as a decimal. =
  27. 27.Write (3⁹)⁸ as a single power 3ⁿ. What is n?
  28. 28.What is the value of 2¹⁵? =
  29. 29.Write 3.1 × 10⁻³ as a decimal. =
  30. 30.Write 6,90,000 in standard form as 6.9 × 10ⁿ. What is n?
  31. 31.What is the value of 2⁻⁷ (as a fraction)? =
  32. 32.What is the value of (2/5)⁻¹? =
  33. 33.Write (7⁵)⁹ as a single power 7ⁿ. What is n?
  34. 34.What is the value of (7/8)⁻¹? =
  35. 35.What is the value of (8/9)⁻²? =
  36. 36.Write 9.6 × 10⁻³ as a decimal. =
  37. 37.Write 2² × 2⁵ as a single power 2ⁿ. What is n?
  38. 38.What is the value of 2⁻³ (as a fraction)? =
  39. 39.What is the value of 3³? =
  40. 40.Write 4² × 4⁵ as a single power 4ⁿ. What is n?

Answer key

  1. 9/7
  2. 0.00057
  3. 25
  4. 4
  5. 8
  6. 1024
  7. 0.00058
  8. 10
  9. 1/512
  10. 36
  11. 625
  12. 11
  13. 390
  14. 3
  15. 9
  16. 0.099
  17. 5
  18. 81/25
  19. 0.05
  20. 7
  21. 100000
  22. 27
  23. 8
  24. 4
  25. 78125
  26. 0.019
  27. 72
  28. 32768
  29. 0.0031
  30. 5
  31. 1/128
  32. 5/2
  33. 45
  34. 8/7
  35. 81/64
  36. 0.0096
  37. 7
  38. 1/8
  39. 27
  40. 7

Free maths worksheets lessons, practice and worksheets at talentjr.in/maths-worksheets